Based on the magnetohydrodynamic energy principle,it is proved that Gold-Hoyle’s nonlinear force-free magnetic field is unstable.This disproves the sufficient criterion for stability of nonlinear force-free magnetic ...Based on the magnetohydrodynamic energy principle,it is proved that Gold-Hoyle’s nonlinear force-free magnetic field is unstable.This disproves the sufficient criterion for stability of nonlinear force-free magnetic fields given by Krüger that a nonlinear force-free field is stable if the maximum absolute value of the force-free factor is smaller than the lowest eigenvalue associated with the domain of interest.展开更多
基金Supported by the National Natural Science Foundation of China under Grant No.19791090.
文摘Based on the magnetohydrodynamic energy principle,it is proved that Gold-Hoyle’s nonlinear force-free magnetic field is unstable.This disproves the sufficient criterion for stability of nonlinear force-free magnetic fields given by Krüger that a nonlinear force-free field is stable if the maximum absolute value of the force-free factor is smaller than the lowest eigenvalue associated with the domain of interest.